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Finding the Third Proportional to 143,926 and 225,766

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Solution

The third proportional to 143,926 and 225,766 is: 354,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,926 : 225,766 = 225,766 : x
  2. Step 2: Convert to fraction form
    143,926/225,766 = 225,766/x
  3. Step 3: Cross multiply
    143,926x = 225,766 × 225,766
  4. Step 4: Simplify right side
    143,926x = 50,970,286,756
  5. Step 5: Solve for x
    x = 50,970,286,756/143,926
  6. Step 6: Final answer
    x = 354,142.31

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.